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Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows
Authors:Yuxi Zheng
Institution:(1) Department of Mathematics, University of California at Berkeley, 94720 Berkeley, CA, USA;(2) Present address: Tancheng, Shandong, People's Republic of China
Abstract:We show that the weak-L 2 limit of a sequence of solutions of the two dimensional incompressible Euler equation is still a solution, provided that a (strong) concentration set for the reduced defect measure has locally finite one dimensional Hausdorff measure in space and time.
Keywords:
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